441020320 has 48 divisors (see below), whose sum is σ = 1122062760. Its totient is φ = 162837504.

The previous prime is 441020311. The next prime is 441020347. The reversal of 441020320 is 23020144.

It can be written as a sum of positive squares in 4 ways, for example, as 173501584 + 267518736 = 13172^2 + 16356^2 .

It is a super-3 number, since 3×441020320³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 441020294 and 441020303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103935 + ... + 108094.

Almost surely, 2^441020320 is an apocalyptic number.

441020320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441020320 is an abundant number, since it is smaller than the sum of its proper divisors (681042440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

441020320 is a wasteful number, since it uses less digits than its factorization.

441020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212057 (or 212049 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 441020320 is about 21000.4838039508. The cubic root of 441020320 is about 761.1779516998.

Adding to 441020320 its reverse (23020144), we get a palindrome (464040464).

The spelling of 441020320 in words is "four hundred forty-one million, twenty thousand, three hundred twenty".